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      Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag-Leffler functions

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          Abstract

          In this paper we discuss the solvability of Langevin equations with two Hadamard fractional derivatives. The method of this discussion is to study the solutions of the equivalent Volterra integral equation in terms of Mittag- Leffler functions. The existence and uniqueness results are established by using Schauder fixed point theorem and Banach fixed point theorem respectively. An example is given to illustrate the main results.

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          Journal
          13 June 2020
          Article
          2006.07608

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          math.AP

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